WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P0 == 0 /\ -arg2P0 == 0), cost: 1 1: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1-arg2P1 == 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 2: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1P2, arg2'=arg2P2, (-1+arg1 > 0 /\ -1+arg1-arg1P2 == 0 /\ -arg2P2+arg2 == 0 /\ -2+arg2 < 0 /\ -1 < 0), cost: 1 3: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -2+arg2 < 0 /\ -1+arg1-arg1P3 == 0 /\ arg2-arg2P3 == 0 /\ -1 < 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P0 == 0 /\ -arg2P0 == 0), cost: 1 New rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1-arg2P1 == 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 New rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=1, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 Applied preprocessing Original rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1P2, arg2'=arg2P2, (-1+arg1 > 0 /\ -1+arg1-arg1P2 == 0 /\ -arg2P2+arg2 == 0 /\ -2+arg2 < 0 /\ -1 < 0), cost: 1 New rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=-1+arg1, (2-arg2 > 0 /\ -1+arg1 > 0), cost: 1 Applied preprocessing Original rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -2+arg2 < 0 /\ -1+arg1-arg1P3 == 0 /\ arg2-arg2P3 == 0 /\ -1 < 0), cost: 1 New rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=-1+arg1, (2-arg2 > 0 /\ -1+arg1 > 0), cost: 1 Applied deletion Removed the following rules: 7 Simplified rules Start location: __init 5: f1_0_main_Load -> f291_0_solve_GE : arg1'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 6: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=1, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 8: f291_0_solve_GE -> f291_0_solve_GE : arg1'=-1+arg1, (2-arg2 > 0 /\ -1+arg1 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied acceleration Original rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=-1+arg1, (2-arg2 > 0 /\ -1+arg1 > 0), cost: 1 New rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1-n0, (2-arg2 > 0 /\ n0 >= 0 /\ arg1-n0 > 0), cost: n0 Applied instantiation Original rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=arg1-n0, (2-arg2 > 0 /\ n0 >= 0 /\ arg1-n0 > 0), cost: n0 New rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=1, (2-arg2 > 0 /\ 1 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 Applied simplification Original rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=1, (2-arg2 > 0 /\ 1 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 New rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=1, (2-arg2 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 Applied deletion Removed the following rules: 8 Accelerated simple loops Start location: __init 5: f1_0_main_Load -> f291_0_solve_GE : arg1'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 6: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=1, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 10: f291_0_solve_GE -> f291_0_solve_GE : arg1'=1, (2-arg2 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=1, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 Second rule: f291_0_solve_GE -> f291_0_solve_GE : arg1'=1, (2-arg2 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 New rule: f1_0_main_Load -> f291_0_solve_GE : arg1'=1, arg2'=1, (arg1 > 0 /\ -1+arg1P1 >= 0 /\ arg2 > 0), cost: arg1P1 Applied deletion Removed the following rules: 10 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f291_0_solve_GE : arg1'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 6: f1_0_main_Load -> f291_0_solve_GE : arg1'=arg1P1, arg2'=1, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P1 > 0), cost: 1 11: f1_0_main_Load -> f291_0_solve_GE : arg1'=1, arg2'=1, (arg1 > 0 /\ -1+arg1P1 >= 0 /\ arg2 > 0), cost: arg1P1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0